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Finding the Fourth Proportional to 377,813.70, 521,251.02 and 214,450.74

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Solution

The fourth proportional to 377,813.70, 521,251.02 and 214,450.74 is: 295,867.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,813.70 : 521,251.02 = 214,450.74 : x
  2. Step 2: Convert to fraction form
    377,813.70/521,251.02 = 214,450.74/x
  3. Step 3: Cross multiply
    377,813.70x = 521,251.02 × 214,450.74
  4. Step 4: Simplify right side
    377,813.70x = 111,782,666,964.76
  5. Step 5: Solve for x
    x = 111,782,666,964.76/377,813.70
  6. Step 6: Final answer
    x = 295,867.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.